"I don't want to burst your bubble or anything, but 5 is the next prime, not 7. (after 2 and 3)"
No, no, no.
You're missing the point!
5 doesn't count for the Trinity of Primes, because it's just the sum of the first two primes, and when you sum the first prime and 5 (because everything has to be envisioned in a circle), you get 7! And that is why 42 is holy.
Don't you see now?
Is this the drunkard's walk?
Or, you could just say you took the 1st, 2nd, and 4th primes, because....
2^0 = 1
2^1 = 2
2^2 = 4
Why that would have any bearing on anything, I don't know, but it sounds good, doesn't it? :-D
So that particular partition would be the way to apply the circle method of Hardy and Littlewood here? ;-)
Ohh Kaaay (slowly backing away)
LOL